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It seemed on Monday like Ryan Dempster would soon become a member of the Braves. Now, 24 hours later, a deal between Chicago and Atlanta is looking increasingly unlikely.

Dempster does not want to play for the Braves, according to FOXSports.com. Since Dempster has 10-5 rights (10 years of major league service and the last five with the same team), the right-hander could block a trade to Atlanta. He reportedly prefers to be sent to the Dodgers, a team closer to his native British Columbia.

Rosenthal reports that the Dodgers remain interested in Dempster, but that talks between the two teams have reached a stalemate. Atlanta, meanwhile, has reportedly made a superior offer. Also complicating matters is the fact that L.A. is reportedly going after other starting pitchers in the trade market.

Dempster is slated to become a free agent at the end of the season, making it more desirable for the Cubs to move him as they continue to rebuild. The 35-year-old, who holds the best ERA among major league starters, would be a nice addition to any club, even if he doesn't ink an extension beyond this year.

Reports surfaced on Monday stating that Dempster was going to Atlanta in a deal, but the hurler later took to Twitter to deny the rumor. According to ESPN.com's Jerry Crasnick, Dempster even felt "blindsided" when the rumored deal was leaked.